A183589 1/24 the number of (n+1)X5 0..3 arrays with every 2X2 subblock containing exactly three distinct values

4832, 603766, 74491726, 9207834547, 1137874208678, 140620157014391, 17377952662176322, 2147583158143435461, 265400246990014695972, 32798400405215436770601, 4053255711263316221878940

Offset

1,1

Comments

Column 4 of A183594

Links

R. H. Hardin, Table of n, a(n) for n = 1..199

Formula

Empirical: a(n)=179*a(n-1)-6470*a(n-2)-111366*a(n-3)+8421556*a(n-4)-27797881*a(n-5)-3641734984*a(n-6)+33282463706*a(n-7)+695892591667*a(n-8)-8771266871058*a(n-9)-59332612133336*a(n-10)+1069043025480468*a(n-11)+1401139251128208*a(n-12)-67977787226742392*a(n-13)+103924226454772488*a(n-14)+2296282350133287328*a(n-15)-7835601773053827936*a(n-16)-39951799309240069504*a(n-17)+217732921395304638464*a(n-18)+281480768985183547392*a(n-19)-3088710469400605992960*a(n-20)+1060118307218454011904*a(n-21)+23235106821777545527296*a(n-22)-29813502870904911822848*a(n-23)-86205910856152217812992*a(n-24)+176340455396913407066112*a(n-25)+120352469518364633464832*a(n-26)-413035836961378449489920*a(n-27)+23412756898836805320704*a(n-28)+336580017414471294124032*a(n-29)-87482121395567755001856*a(n-30)-52610526709749173452800*a(n-31)

Example

Some solutions with a(1,1)=0 for 3X5
..0..0..0..1..1....0..0..0..0..2....0..0..0..0..1....0..0..0..3..2
..2..3..2..0..2....3..2..3..2..3....2..3..2..1..3....1..2..3..1..2
..3..0..3..3..3....0..0..3..1..2....0..3..1..0..0....0..1..1..0..1

Crossrefs

Sequence in context: A299206 A153408 A281885 * A185990 A215949 A031838

Adjacent sequences: A183586 A183587 A183588 * A183590 A183591 A183592

Keyword

nonn

Author

R. H. Hardin Jan 05 2011

Status

approved